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42130321001120 = 2551161213910747
BaseRepresentation
bin10011001010001001110101…
…10100010100101010100000
312112011121201111201122122202
421211010322310110222200
521010230344134013440
6225334222520352332
711605546425554342
oct1145047264245240
9175147644648582
1042130321001120
1112473406962970
12488517b3156a8
131a67b45375441
14a59192d13292
154d0d8dd19615
hex26513ad14aa0

42130321001120 has 96 divisors (see below), whose sum is σ = 108599094225216. Its totient is φ = 15317609932800.

The previous prime is 42130321001099. The next prime is 42130321001141. The reversal of 42130321001120 is 2110012303124.

It is an interprime number because it is at equal distance from previous prime (42130321001099) and next prime (42130321001141).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42130321001092 and 42130321001101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8817587 + ... + 12728333.

It is an arithmetic number, because the mean of its divisors is an integer number (1131240564846).

Almost surely, 242130321001120 is an apocalyptic number.

42130321001120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42130321001120 is an abundant number, since it is smaller than the sum of its proper divisors (66468773224096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42130321001120 is a wasteful number, since it uses less digits than its factorization.

42130321001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916894 (or 3916886 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 42130321001120 its reverse (2110012303124), we get a palindrome (44240333304244).

The spelling of 42130321001120 in words is "forty-two trillion, one hundred thirty billion, three hundred twenty-one million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 6121 12242 24484 30605 48968 61210 67331 97936 122420 134662 195872 244840 269324 336655 489680 538648 673310 979360 1077296 1346620 2154592 2693240 3910747 5386480 7821494 10772960 15642988 19553735 31285976 39107470 43018217 62571952 78214940 86036434 125143904 156429880 172072868 215091085 312859760 344145736 430182170 625719520 688291472 860364340 1376582944 1720728680 3441457360 6882914720 23937682387 47875364774 95750729548 119688411935 191501459096 239376823870 263314506257 383002918192 478753647740 526629012514 766005836384 957507295480 1053258025028 1316572531285 1915014590960 2106516050056 2633145062570 3830029181920 4213032100112 5266290125140 8426064200224 10532580250280 21065160500560 42130321001120